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Finding the Fourth Proportional to 7,048.95, 9,730.90 and 4,400.25

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Solution

The fourth proportional to 7,048.95, 9,730.90 and 4,400.25 is: 6,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.95 : 9,730.90 = 4,400.25 : x
  2. Step 2: Convert to fraction form
    7,048.95/9,730.90 = 4,400.25/x
  3. Step 3: Cross multiply
    7,048.95x = 9,730.90 × 4,400.25
  4. Step 4: Simplify right side
    7,048.95x = 42,818,392.73
  5. Step 5: Solve for x
    x = 42,818,392.73/7,048.95
  6. Step 6: Final answer
    x = 6,074.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.